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Finding the Fourth Proportional to 2,828.36, 4,242.90 and 880.58

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Solution

The fourth proportional to 2,828.36, 4,242.90 and 880.58 is: 1,320.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.36 : 4,242.90 = 880.58 : x
  2. Step 2: Convert to fraction form
    2,828.36/4,242.90 = 880.58/x
  3. Step 3: Cross multiply
    2,828.36x = 4,242.90 × 880.58
  4. Step 4: Simplify right side
    2,828.36x = 3,736,212.88
  5. Step 5: Solve for x
    x = 3,736,212.88/2,828.36
  6. Step 6: Final answer
    x = 1,320.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.